1,332,324

2² × 3² × 7 × 17 × 311

1,332,324 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 7 × 17 × 311 and its 72 divisors sum to 4,088,448.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17 × 311

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,088,448

Proper Divisor Sum 2,756,124

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1332319 ← → #1332329

Radix Representation

Decimal	1332324
Binary	101000101010001100100 (21 bits)
Octal	0o5052144
Hexadecimal	0x145464

Divisor Catalog (60 of 72)

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 311 357 476 612 622 714 933 1,071 1,244 1,428 1,866 2,142 2,177 2,799 3,732 4,284 4,354 5,287 5,598 6,531 8,708 10,574 11,196 13,062 15,861 19,593 21,148 26,124 31,722 37,009 39,186 47,583

Collatz Trajectory (142 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,332,324 666,162 333,081 999,244 499,622 249,811 749,434 374,717 1,124,152 562,076 281,038 140,519 421,558 210,779 632,338 316,169 948,508 474,254 237,127 711,382 355,691 1,067,074 533,537 1,600,612 800,306 400,153 1,200,460 600,230 300,115 900,346 450,173 1,350,520 675,260 337,630 168,815 506,446 253,223 759,670 379,835 1,139,506 569,753 1,709,260 854,630 427,315 1,281,946 640,973 1,922,920 961,460 480,730 240,365 721,096 360,548 180,274 90,137 270,412 135,206 67,603 202,810 101,405 304,216

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